If your interest is in a man who is named on a document, which also references a birth and/or adoption in WA, you need to see the document.
I wonder if the document was created after the 1938 event. If it is contemporary with the 1938 event, and records a birth and/or adoption, you might expect a location to be something more specific than just "Albany area"
What is the document?. When was it created?. Does it name a government department....an organisation?